Ordinary Differential Equations

Offers an alternative to the ‘rote’ approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.

Spis treści:
Introduction
First-Order Linear Differential Equations
Second-Order Differential Equations
Power- Series Descriptions
The Wronskian
Eigenvalue Problems
The Second-Order Linear Nonhomogeneous Equation
Expansions in Eigenfunctions
The Perturbation Expansion
Asymptotic Series
Special Functions
The Laplace Transform
Rudiments of the Variational Calculus
Separation of Variables and Product Series Solutions of Partial Differential Equations
Nonlinear Differential Equations
More on Difference Equations
Numerical Methods
Singular Perturbation Methods.